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1086786064 = 247131723283
BaseRepresentation
bin100000011000111…
…0000101000010000
32210201222110012201
41000301300220100
54211204123224
6255501332544
735634346330
oct10061605020
92721873181
101086786064
1150850a501
12263b67154
131442052a0
14a449d0c0
1565625a44
hex40c70a10

1086786064 has 240 divisors, whose sum is σ = 2903064192. Its totient is φ = 382390272.

The previous prime is 1086786059. The next prime is 1086786119. The reversal of 1086786064 is 4606876801.

It is a happy number.

It is a super-2 number, since 2×10867860642 = 2362207897809224192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13093767 + ... + 13093849.

Almost surely, 21086786064 is an apocalyptic number.

1086786064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1086786064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451532096).

1086786064 is an abundant number, since it is smaller than the sum of its proper divisors (1816278128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1086786064 is a wasteful number, since it uses less digits than its factorization.

1086786064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 1086786064 is about 32966.4384488225. The cubic root of 1086786064 is about 1028.1299729178.

The spelling of 1086786064 in words is "one billion, eighty-six million, seven hundred eighty-six thousand, sixty-four".